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Finding the Fourth Proportional to 274,185.96, 411,312.76 and 133,838.52

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Solution

The fourth proportional to 274,185.96, 411,312.76 and 133,838.52 is: 200,774.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,185.96 : 411,312.76 = 133,838.52 : x
  2. Step 2: Convert to fraction form
    274,185.96/411,312.76 = 133,838.52/x
  3. Step 3: Cross multiply
    274,185.96x = 411,312.76 × 133,838.52
  4. Step 4: Simplify right side
    274,185.96x = 55,049,491,055.52
  5. Step 5: Solve for x
    x = 55,049,491,055.52/274,185.96
  6. Step 6: Final answer
    x = 200,774.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.